Mammoth Unified: math

The shaded band is this district's normal range. If nothing about how it works changes, nearly every future year should land inside it. Zero means the typical student just meets the state standard. The small numbers under the years are how many students were tested.

Step 1 · Each year's result

For each grade tested, take the average (mean) scale score from the California Department of Education's results file, and subtract the lowest score that counts as "Standard Met" for that grade. That is the grade's distance from standard. Weight each grade by its share of the students tested, then add the grades up. Grades where the state hides the average because ten or fewer students tested are left out entirely.

2015 from sb_ca2015_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,199	2427.4	− 2436	−8.6	× 111 / 663	−1.4
4	45,202	2465.5	− 2485	−19.5	× 93 / 663	−2.7
5	45,203	2493.8	− 2528	−34.2	× 89 / 663	−4.6
6	45,206	2516.9	− 2552	−35.1	× 83 / 663	−4.4
7	45,207	2531.1	− 2567	−35.9	× 95 / 663	−5.1
8	45,210	2544.2	− 2586	−41.8	× 115 / 663	−7.3
11	45,211	2570.1	− 2628	−57.9	× 77 / 663	−6.7
Sum, rounded to a whole point						−32

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,904	2415.0	− 2436	−21	× 90 / 621	−3
4	41,906	2478.2	− 2485	−6.8	× 103 / 621	−1.1
5	41,908	2488.2	− 2528	−39.8	× 90 / 621	−5.8
6	41,909	2534.9	− 2552	−17.1	× 83 / 621	−2.3
7	41,911	2533.7	− 2567	−33.3	× 88 / 621	−4.7
8	41,913	2578.0	− 2586	−8	× 95 / 621	−1.2
11	41,916	2574.5	− 2628	−53.5	× 72 / 621	−6.2
Sum, rounded to a whole point						−24

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,945	2408.7	− 2436	−27.3	× 85 / 625	−3.7
4	42,946	2438.7	− 2485	−46.3	× 94 / 625	−7
5	42,948	2477.8	− 2528	−50.2	× 104 / 625	−8.4
6	42,951	2514.2	− 2552	−37.8	× 92 / 625	−5.6
7	42,952	2521.5	− 2567	−45.5	× 91 / 625	−6.6
8	42,955	2564.2	− 2586	−21.8	× 88 / 625	−3.1
11	42,957	2548.8	− 2628	−79.2	× 71 / 625	−9
Sum, rounded to a whole point						−43

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,948	2409.5	− 2436	−26.5	× 92 / 652	−3.7
4	42,949	2431.0	− 2485	−54	× 83 / 652	−6.9
5	42,952	2472.3	− 2528	−55.7	× 91 / 652	−7.8
6	42,954	2544.9	− 2552	−7.1	× 99 / 652	−1.1
7	42,955	2536.6	− 2567	−30.4	× 94 / 652	−4.4
8	42,957	2571.4	− 2586	−14.6	× 93 / 652	−2.1
11	42,960	2549.8	− 2628	−78.2	× 100 / 652	−12
Sum, rounded to a whole point						−38

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,071	2427.0	− 2436	−9	× 87 / 638	−1.2
4	43,072	2437.9	− 2485	−47.1	× 85 / 638	−6.3
5	43,073	2472.5	− 2528	−55.5	× 87 / 638	−7.6
6	43,074	2530.9	− 2552	−21.1	× 98 / 638	−3.2
7	43,075	2546.6	− 2567	−20.4	× 108 / 638	−3.5
8	43,076	2581.2	− 2586	−4.8	× 93 / 638	−0.7
11	43,077	2559.6	− 2628	−68.4	× 80 / 638	−8.6
Sum, rounded to a whole point						−31

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	41,947	2557.5	− 2628	−70.5	× 71 / 71	−70.5
Sum, rounded to a whole point						−71

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,806	2381.6	− 2436	−54.4	× 84 / 542	−8.4
4	42,807	2431.7	− 2485	−53.3	× 77 / 542	−7.6
5	42,808	2468.8	− 2528	−59.2	× 73 / 542	−8
6	42,809	2507.0	− 2552	−45	× 81 / 542	−6.7
7	42,810	2516.3	− 2567	−50.7	× 76 / 542	−7.1
8	42,811	2552.1	− 2586	−33.9	× 77 / 542	−4.8
11	42,812	2559.3	− 2628	−68.7	× 74 / 542	−9.4
Sum, rounded to a whole point						−52

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,819	2410.5	− 2436	−25.5	× 78 / 568	−3.5
4	42,820	2416.5	− 2485	−68.5	× 89 / 568	−10.7
5	42,821	2455.4	− 2528	−72.6	× 76 / 568	−9.7
6	42,822	2533.7	− 2552	−18.3	× 73 / 568	−2.4
7	42,823	2534.9	− 2567	−32.1	× 79 / 568	−4.5
8	42,824	2525.5	− 2586	−60.5	× 79 / 568	−8.4
11	42,825	2551.5	− 2628	−76.5	× 94 / 568	−12.7
Sum, rounded to a whole point						−52

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,644	2427.4	− 2436	−8.6	× 99 / 576	−1.5
4	42,645	2452.1	− 2485	−32.9	× 82 / 576	−4.7
5	42,646	2445.2	− 2528	−82.8	× 87 / 576	−12.5
6	42,647	2517.1	− 2552	−34.9	× 80 / 576	−4.8
7	42,648	2544.5	− 2567	−22.5	× 71 / 576	−2.8
8	42,649	2536.0	− 2586	−50	× 79 / 576	−6.9
11	42,650	2541.4	− 2628	−86.6	× 78 / 576	−11.7
Sum, rounded to a whole point						−45

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,395	2403.9	− 2436	−32.1	× 71 / 549	−4.2
4	42,396	2443.4	− 2485	−41.6	× 96 / 549	−7.3
5	42,397	2484.5	− 2528	−43.5	× 79 / 549	−6.3
6	42,398	2507.2	− 2552	−44.8	× 82 / 549	−6.7
7	42,399	2520.3	− 2567	−46.7	× 82 / 549	−7
8	42,400	2537.4	− 2586	−48.6	× 69 / 549	−6.1
11	42,401	2538.5	− 2628	−89.5	× 70 / 549	−11.4
Sum, rounded to a whole point						−49

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,299	2448.1	− 2436	12.1	× 88 / 565	1.9
4	42,300	2444.4	− 2485	−40.6	× 70 / 565	−5
5	42,301	2477.2	− 2528	−50.8	× 94 / 565	−8.5
6	42,302	2531.6	− 2552	−20.4	× 74 / 565	−2.7
7	42,303	2538.1	− 2567	−28.9	× 80 / 565	−4.1
8	42,304	2553.2	− 2586	−32.8	× 86 / 565	−5
11	42,305	2572.1	− 2628	−55.9	× 73 / 565	−7.2
Sum, rounded to a whole point						−31

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −32, −24, −43, −38, −31, −71, −52, −52, −45, −49, −31 → −42.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 19 · 2017→2018: 5 · 2018→2019: 7 · 2019→2021: 40 · 2021→2022: 19 · 2022→2023: 0 · 2023→2024: 7 · 2024→2025: 4 · 2025→2026: 18 → average 12.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.7 × 2.66 = 33.8. Upper limit −8.7, lower limit −76.3.

Why 2.66? It is the standard factor from quality control, the work of Walter Shewhart and W. Edwards Deming. It turns "how much the result typically changes in a year" into "how far it can wander by chance alone".

Years with no result (no state tests were given in spring 2020) are skipped: the year-to-year change runs from the last year with a result to the next one.

Step 3 · Free or reduced-price meals

The share of enrolled students eligible for free or reduced-price meals — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.

Schools in Mammoth Unified